We describe in detail two numerical simulation methods valid to study systems whose thermostatistics is described by generalized entropies, such as Tsallis. The methods are useful for applications to non-trivial interacting systems with a large number of degrees of freedom, and both short- and...

We compute numerically the distribution of energies Ω(E,N) for the XY-model with short- and long-range interactions. We find that in both cases the distribution can be fitted to the functional form: Ω(E,N)∼exp(Nφ(E,N)), with φ(E,N) an intensive function of the energy.